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Finding the Fourth Proportional to 13,683.34, 20,528.19 and 4,324.30

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Solution

The fourth proportional to 13,683.34, 20,528.19 and 4,324.30 is: 6,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.34 : 20,528.19 = 4,324.30 : x
  2. Step 2: Convert to fraction form
    13,683.34/20,528.19 = 4,324.30/x
  3. Step 3: Cross multiply
    13,683.34x = 20,528.19 × 4,324.30
  4. Step 4: Simplify right side
    13,683.34x = 88,770,052.02
  5. Step 5: Solve for x
    x = 88,770,052.02/13,683.34
  6. Step 6: Final answer
    x = 6,487.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.